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方框中的分数

方框中的分数
几何画板及绘图内容加载中，请稍等……
2017-04-28 23:40
多边形解析几何矩阵
①本范例演示如何在方框内通过几何作图表示分数；②涉及核心数学概念包括分数、多边形、解析几何、矩阵运算；③构造要点：使用Polygon（多边形）、Intersect（交点）、Segment（线段）、PolyLine（多段线）、Sequence（序列）等GeoGebra命令；④适合高中数学教学，用于理解分数的几何意义和矩阵在几何变换中的应用。

GeoGebra 命令及参数

  1. Polygon(A, B, C, D) → a, a_{90}, b_{90}, c_{90}, d_{90}
  2. Polygon(A_1, B_1, C_1, D_1) → aa, a_1, b_1, c_1, d_1
  3. Polygon(A_2, B_2, C_2, D_2) → b, a_2, b_2, c_2, d_2
  4. Polygon(A_3, B_3, C_3, D_3) → bb, a_3, b_3, c_3, d_3
  5. Polygon(A_4, B_4, C_4, D_4) → c, a_4, b_4, c_4, d_4
  6. Polygon(A_5, B_5, C_5, D_5) → cc, a_5, b_5, c_5, d_5
  7. Polygon(A_6, B_6, C_6, D_6) → d, a_6, b_6, c_6, d_6
  8. Polygon(A_7, B_7, C_7, D_7) → dd, a_7, b_7, c_7, d_7
  9. Polygon(A_8, B_8, C_8, D_8) → e, a_8, b_8, c_8, d_8
  10. Polygon(A_9, B_9, C_9, D_9) → ee, a_9, b_9, c_9, d_9
  11. Polygon(A_{10}, B_{10}, C_{10}, D_{10}) → f, a_{10}, b_{10}, c_{10}, d_{10}
  12. Polygon(A_{11}, B_{11}, C_{11}, D_{11}) → ff, a_{11}, b_{11}, c_{11}, d_{11}
  13. Polygon(A_{12}, B_{12}, C_{12}, D_{12}) → g, a_{12}, b_{12}, c_{12}, d_{12}
  14. Polygon(A_{13}, B_{13}, C_{13}, D_{13}) → gg, a_{13}, b_{13}, c_{13}, d_{13}
  15. Polygon(A_{14}, B_{14}, C_{14}, D_{14}) → h, a_{14}, b_{14}, c_{14}, d_{14}
  16. Polygon(A_{15}, B_{15}, C_{15}, D_{15}) → hh, a_{15}, b_{15}, c_{15}, d_{15}
  17. Polygon(A_{16}, B_{16}, C_{16}, D_{16}) → i, a_{16}, b_{16}, c_{16}, d_{16}
  18. Polygon(A_{17}, B_{17}, C_{17}, D_{17}) → ii, a_{17}, b_{17}, c_{17}, d_{17}
  19. Polygon(A_{18}, B_{18}, C_{18}, D_{18}) → j, a_{18}, b_{18}, c_{18}, d_{18}
  20. Polygon(A_{19}, B_{19}, C_{19}, D_{19}) → jj, a_{19}, b_{19}, c_{19}, d_{19}
  21. Polygon(A_{20}, B_{20}, C_{20}, D_{20}) → k, a_{20}, b_{20}, c_{20}, d_{20}
  22. Polygon(A_{21}, B_{21}, C_{21}, D_{21}) → kk, a_{21}, b_{21}, c_{21}, d_{21}
  23. Polygon(A_{22}, B_{22}, C_{22}, D_{22}) → l, a_{22}, b_{22}, c_{22}, d_{22}
  24. Polygon(A_{23}, B_{23}, C_{23}, D_{23}) → ll, a_{23}, b_{23}, c_{23}, d_{23}
  25. Polygon(A_{24}, B_{24}, C_{24}, D_{24}) → m, a_{24}, b_{24}, c_{24}, d_{24}
  26. Polygon(A_{25}, B_{25}, C_{25}, D_{25}) → mm, a_{25}, b_{25}, c_{25}, d_{25}
  27. Polygon(A_{26}, B_{26}, C_{26}, D_{26}) → n, a_{26}, b_{26}, c_{26}, d_{26}
  28. Polygon(A_{27}, B_{27}, C_{27}, D_{27}) → nn, a_{27}, b_{27}, c_{27}, d_{27}
  29. Polygon(A_{28}, B_{28}, C_{28}, D_{28}) → o, a_{28}, b_{28}, c_{28}, d_{28}
  30. Polygon(A_{29}, B_{29}, C_{29}, D_{29}) → oo, a_{29}, b_{29}, c_{29}, d_{29}
  31. Polygon(A_{30}, B_{30}, C_{30}, D_{30}) → p, a_{30}, b_{30}, c_{30}, d_{30}
  32. Polygon(A_{31}, B_{31}, C_{31}, D_{31}) → pp_1, a_{31}, b_{31}, c_{31}, d_{31}
  33. Polygon(A_{32}, B_{32}, C_{32}, D_{32}) → pp, a_{32}, b_{32}, c_{32}, d_{32}
  34. Polygon(A_{33}, B_{33}, C_{33}, D_{33}) → r, a_{33}, b_{33}, c_{33}, d_{33}
  35. Polygon(A_{34}, B_{34}, C_{34}, D_{34}) → q_1, a_{34}, b_{34}, c_{34}, d_{34}
  36. Polygon(A_{35}, B_{35}, C_{35}, D_{35}) → q, a_{35}, b_{35}, c_{35}, d_{35}
  37. Polygon(A_{36}, B_{36}, C_{36}, D_{36}) → poly1_{36}, a_{36}, b_{36}, c_{36}, d_{36}
  38. Polygon(A_{37}, B_{37}, C_{37}, D_{37}) → poly1_{37}, a_{37}, b_{37}, c_{37}, d_{37}
  39. Polygon(A_{38}, B_{38}, C_{38}, D_{38}) → poly1_{38}, a_{38}, b_{38}, c_{38}, d_{38}
  40. Polygon(A_{39}, B_{39}, C_{39}, D_{39}) → poly1_{39}, a_{39}, b_{39}, c_{39}, d_{39}
  41. Polygon(A_{40}, B_{40}, C_{40}, D_{40}) → poly1_{40}, a_{40}, b_{40}, c_{40}, d_{40}
  42. Polygon(A_{41}, B_{41}, C_{41}, D_{41}) → poly1_{41}, a_{41}, b_{41}, c_{41}, d_{41}
  43. Polygon(A_{42}, B_{42}, C_{42}, D_{42}) → poly1_{42}, a_{42}, b_{42}, c_{42}, d_{42}
  44. Polygon(A_{43}, B_{43}, C_{43}, D_{43}) → poly1_{43}, a_{43}, b_{43}, c_{43}, d_{43}
  45. Polygon(A_{44}, B_{44}, C_{44}, D_{44}) → poly1_{44}, a_{44}, b_{44}, c_{44}, d_{44}
  46. Polygon(A_{45}, B_{45}, C_{45}, D_{45}) → poly1_{45}, a_{45}, b_{45}, c_{45}, d_{45}
  47. Polygon(A_{46}, B_{46}, C_{46}, D_{46}) → poly1_{46}, a_{46}, b_{46}, c_{46}, d_{46}
  48. Polygon(A_{47}, B_{47}, C_{47}, D_{47}) → poly1_{47}, a_{47}, b_{47}, c_{47}, d_{47}
  49. Polygon(A_{48}, B_{48}, C_{48}, D_{48}) → poly1_{48}, a_{48}, b_{48}, c_{48}, d_{48}
  50. Polygon(A_{49}, B_{49}, C_{49}, D_{49}) → poly1_{49}, a_{49}, b_{49}, c_{49}, d_{49}
  51. Polygon(A_{50}, B_{50}, C_{50}, D_{50}) → poly1_{50}, a_{50}, b_{50}, c_{50}, d_{50}
  52. Polygon(A_{51}, B_{51}, C_{51}, D_{51}) → poly1_{51}, a_{51}, b_{51}, c_{51}, d_{51}
  53. Polygon(A_{52}, B_{52}, C_{52}, D_{52}) → poly1_{52}, a_{52}, b_{52}, c_{52}, d_{52}
  54. Polygon(A_{53}, B_{53}, C_{53}, D_{53}) → poly1_{53}, a_{53}, b_{53}, c_{53}, d_{53}
  55. Polygon(A_{54}, B_{54}, C_{54}, D_{54}) → poly1_{54}, a_{54}, b_{54}, c_{54}, d_{54}
  56. Polygon(A_{55}, B_{55}, C_{55}, D_{55}) → poly1_{55}, a_{55}, b_{55}, c_{55}, d_{55}
  57. Polygon(A_{56}, B_{56}, C_{56}, D_{56}) → poly1_{56}, a_{56}, b_{56}, c_{56}, d_{56}
  58. Polygon(A_{57}, B_{57}, C_{57}, D_{57}) → poly1_{57}, a_{57}, b_{57}, c_{57}, d_{57}
  59. Polygon(A_{58}, B_{58}, C_{58}, D_{58}) → poly1_{58}, a_{58}, b_{58}, c_{58}, d_{58}
  60. Polygon(A_{59}, B_{59}, C_{59}, D_{59}) → poly1_{59}, a_{59}, b_{59}, c_{59}, d_{59}
  61. Polygon(A_{60}, B_{60}, C_{60}, D_{60}) → poly1_{60}, a_{60}, b_{60}, c_{60}, d_{60}
  62. Polygon(A_{61}, B_{61}, C_{61}, D_{61}) → poly1_{61}, a_{61}, b_{61}, c_{61}, d_{61}
  63. Polygon(A_{62}, B_{62}, C_{62}, D_{62}) → poly1_{62}, a_{62}, b_{62}, c_{62}, d_{62}
  64. Polygon(A_{63}, B_{63}, C_{63}, D_{63}) → poly1_{63}, a_{63}, b_{63}, c_{63}, d_{63}
  65. Polygon(A_{64}, B_{64}, C_{64}, D_{64}) → poly1_{64}, a_{64}, b_{64}, c_{64}, d_{64}
  66. Polygon(A_{65}, B_{65}, C_{65}, D_{65}) → poly1_{65}, a_{65}, b_{65}, c_{65}, d_{65}
  67. Polygon(A_{66}, B_{66}, C_{66}, D_{66}) → poly1_{66}, a_{66}, b_{66}, c_{66}, d_{66}
  68. Polygon(A_{67}, B_{67}, C_{67}, D_{67}) → poly1_{67}, a_{67}, b_{67}, c_{67}, d_{67}
  69. Polygon(A_{68}, B_{68}, C_{68}, D_{68}) → poly1_{68}, a_{68}, b_{68}, c_{68}, d_{68}
  70. Polygon(A_{69}, B_{69}, C_{69}, D_{69}) → poly1_{69}, a_{69}, b_{69}, c_{69}, d_{69}
  71. Polygon(A_{70}, B_{70}, C_{70}, D_{70}) → poly1_{70}, a_{70}, b_{70}, c_{70}, d_{70}
  72. Polygon(A_{71}, B_{71}, C_{71}, D_{71}) → poly1_{71}, a_{71}, b_{71}, c_{71}, d_{71}
  73. Polygon(A_{72}, B_{72}, C_{72}, D_{72}) → poly1_{72}, a_{72}, b_{72}, c_{72}, d_{72}
  74. Polygon(A_{73}, B_{73}, C_{73}, D_{73}) → poly1_{73}, a_{73}, b_{73}, c_{73}, d_{73}
  75. Polygon(A_{74}, B_{74}, C_{74}, D_{74}) → poly1_{74}, a_{74}, b_{74}, c_{74}, d_{74}
  76. Polygon(A_{75}, B_{75}, C_{75}, D_{75}) → poly1_{75}, a_{75}, b_{75}, c_{75}, d_{75}
  77. Polygon(A_{76}, B_{76}, C_{76}, D_{76}) → poly1_{76}, a_{76}, b_{76}, c_{76}, d_{76}
  78. Polygon(A_{77}, B_{77}, C_{77}, D_{77}) → poly1_{77}, a_{77}, b_{77}, c_{77}, d_{77}
  79. Polygon(A_{78}, B_{78}, C_{78}, D_{78}) → poly1_{78}, a_{78}, b_{78}, c_{78}, d_{78}
  80. Polygon(A_{79}, B_{79}, C_{79}, D_{79}) → poly1_{79}, a_{79}, b_{79}, c_{79}, d_{79}
  81. Polygon(A_{80}, B_{80}, C_{80}, D_{80}) → poly1_{80}, a_{80}, b_{80}, c_{80}, d_{80}
  82. Polygon(A_{81}, B_{81}, C_{81}, D_{81}) → poly1_{81}, a_{81}, b_{81}, c_{81}, d_{81}
  83. Polygon(A_{82}, B_{82}, C_{82}, D_{82}) → poly1_{82}, a_{82}, b_{82}, c_{82}, d_{82}
  84. Polygon(A_{83}, B_{83}, C_{83}, D_{83}) → poly1_{83}, a_{83}, b_{83}, c_{83}, d_{83}
  85. Intersect(a_{31}, b_{31}) → E
  86. Intersect(b_{14}, c_{14}) → F
  87. Intersect(b_{28}, c_{28}) → H
  88. Polygon(E, F, G, H) → poly2, e_1, f_1, g_1, h_1
  89. Polygon(A_{84}, B_{84}, C_{84}, D_{84}) → poly1_{84}, a_{84}, b_{84}, c_{84}, d_{84}
  90. Polygon(A_{85}, B_{85}, C_{85}, D_{85}) → poly1_{85}, a_{85}, b_{85}, c_{85}, d_{85}
  91. Polygon(A_{86}, B_{86}, C_{86}, D_{86}) → poly1_{86}, a_{86}, b_{86}, c_{86}, d_{86}
  92. Polygon(A_{87}, B_{87}, C_{87}, D_{87}) → poly1_{87}, a_{87}, b_{87}, c_{87}, d_{87}
  93. Polygon(A_{88}, B_{88}, C_{88}, D_{88}) → poly1_{88}, a_{88}, b_{88}, c_{88}, d_{88}
  94. Polygon(A_{89}, B_{89}, C_{89}, D_{89}) → poly1_{89}, a_{89}, b_{89}, c_{89}, d_{89}
  95. Intersect(a_{90}, d_{90}) → I
  96. Intersect(c_{23}, d_{23}) → J
  97. Segment(I, J) → i_1
  98. Intersect(f_1, g_1) → K
  99. Segment(J, K) → j_1
  100. Intersect(a_9, b_9) → L
  101. Segment(K, L) → k_1
  102. Segment(L, I) → l_1
  103. PolyLine((-7.839999999999999, 6.7399999999999975), (NaN, NaN), (-7.219999999999999, 6.539999999999998), (-7.119999999999999, 6.539999999999998), (-6.999999999999999, 6.539999999999998), (-6.899999999999999, 6.539999999999998), (-6.839999999999999, 6.599999999999998), (-6.779999999999999, 6.639999999999998), (-6.699999999999999, 6.639999999999998), (-6.619999999999999, 6.639999999999998), (-6.559999999999999, 6.619999999999997), true, (-7.839999999999999, 6.7399999999999975), (-7.7799999999999985, 6.759999999999998), (-7.679999999999999, 6.759999999999998), (-7.599999999999999, 6.759999999999998), (-7.499999999999999, 6.7399999999999975), (-7.439999999999999, 6.6999999999999975), (-7.379999999999999, 6.619999999999997), (-7.299999999999999, 6.559999999999998)) → stroke1
  104. Sequence((x(A) + i, y(A)), i, 0, 10) → list1
  105. Sequence((x(M) + i, y(M)), i, 0, 10) → list2
  106. Sequence(Segment[Element[list1, i], Element[list2, i]], i, 1, 10) → list3
  107. Sequence((x(D_{23}), y(D_{23}) + i), i, 0, 10) → list4
  108. Sequence((x(N), y(N) + i), i, 0, 10) → list5
  109. Sequence(Segment[Element[list4, i], Element[list5, i]], i, 1, 10) → list6

AI 绘图提示语参考

绘制一个矩形框，并在框内用几何方式表示分数。首先绘制一个矩形，然后在矩形内绘制多个小矩形，每个小矩形代表分数的一部分。最后，用线段连接这些小矩形的顶点，形成网格状结构。
以上提示语为根据原始绘图命令整理而来，仅供参考。